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Finding the Fourth Proportional to 2,655.45, 3,983.16 and 681.08

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Solution

The fourth proportional to 2,655.45, 3,983.16 and 681.08 is: 1,021.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.45 : 3,983.16 = 681.08 : x
  2. Step 2: Convert to fraction form
    2,655.45/3,983.16 = 681.08/x
  3. Step 3: Cross multiply
    2,655.45x = 3,983.16 × 681.08
  4. Step 4: Simplify right side
    2,655.45x = 2,712,828.14
  5. Step 5: Solve for x
    x = 2,712,828.14/2,655.45
  6. Step 6: Final answer
    x = 1,021.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.